Theorems · Definition · combinatorics
Multiset.coeEquiv
{α : Type u_1} → [inst : DecidableEq α] → (m : Multiset α) → m.ToType ≃ ↥m.toEnumFinsetAnother way to coerce a Multiset to a type is to go through m.toEnumFinset and coerce
that Finset to a type.
- Defined in
- Mathlib.Data.Multiset.Fintype
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Equivstatement · cited by 8,337
- Multisetstatement and proof · cited by 2,627
- Multiset.ToTypestatement and proof · cited by 30
- Multiset.toEnumFinsetstatement and proof · cited by 24
- Multiset.coeEmbeddingproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Multiset.prod_toEnumFinsetproof · cited by 0
- Multiset.coeEquiv_apply_coestatement and proof · cited by 0
- Multiset.coeEquiv_symm_apply_fststatement and proof · cited by 0
- Multiset.coeEquiv_symm_apply_snd_valstatement and proof · cited by 0
- Multiset.card_coeproof · cited by 0
- Multiset.sum_toEnumFinsetproof · cited by 0
- Multiset.toEmbedding_coeEquiv_transstatement and proof · cited by 0